UUCF Summer RE 2011 Brain Glitches Session 1: Confirmation Bias Bias What does “bias” mean? Bias originally referred to a slanted or oblique line. Bias is an inclination to present or hold a perspective at the expense of (possibly equally valid) alternatives (easier) An inclination (often against), a partiality, a prejudice. Choose 3 adjectives “George Washington was a ________ president.” “McDonald’s is a ________ meal.” “The New England Patriots are a _______ team”. Cognitive Bias A cognitive bias is the human tendency to make systematic errors in certain circumstances based on cognitive factors rather than evidence. (Easier) A bias resulting from the way our brain works, instead of other factors. (Easier still) A Brain Glitch Decision making What we really ought to do • Think through all the evidence • Use logic • Ignore irrelevant information • Pay attention • Sort out the meaningful patterns from the noise • Change our minds when there is good reason What people usually do • Take mental shortcuts • Jump to conclusions • Be confused by irrelevant information • Miss important stuff • Think we see patterns everywhere • Stick to our preconceptions, even when they turn out to be wrong Confirmation Bias The tendency to seek & find confirmatory evidence for one’s beliefs, and to ignore disconfirmatory evidence OR: “LA LA LA LA I can’t hear you!!!!” Confirmation Bias We seek out and pay attention to things that agree with what we already think. We tune out and forget those things that disagree with us. (Related) We remember the unusual and forget the routine. Example I am the “Rain Goddess of Camping”! Whenever I go camping, it rains on me. It’s like the rain loves me and wants to follow me! It works every time! (Except for that one time it didn’t, and that one doesn’t count.) Another Example My Husband’s brother Pat, when he was a teenager, said “Whenever I see another driver do something stupid, it’s always a woman! And when it’s not, he’s either black or an old guy!” Politics Who’s right and who’s an idiot? Opinion Who’s right and who’s an idiot? Science Who’s right and who’s an idiot? Confirmation Bias “Be careful. People like to be told what they already know. Remember that. They get uncomfortable when you tell them new things. New things…well, new things aren’t what they expect. They like to know that, say, a dog will bite a man. That is what dogs do. They don’t want to know that man bites a dog, because the world is not supposed to happen like that. In short, what people think they want is news, but what they really crave is olds…Not news but olds, telling people that what they think they already know is true.” Terry Pratchett through the character Lord Vetinari from his novel, “The Truth: a novel of Discworld Book Buying Patterns: Amazon.com, October 2008 The confirmation bias game http://hosted.xamai.ca/confbias/index.php The Backfire Effect The Misconception: When your beliefs are challenged with facts, you alter your opinions and incorporate the new information into your thinking. The Truth: When your deepest convictions are challenged by contradictory evidence, your beliefs get stronger. Correlation vs. Causation In a Gallup poll, surveyors asked, “Do you believe correlation implies causation?’” 64% of American’s answered “Yes” . 38% replied “No”. The other 8% were undecided. Correlation vs Causation Correlation tells us two variables are related Types of relationship reflected in correlation – X causes Y or Y causes X (causal relationship) – X and Y are caused by a third variable Z (spurious relationship) http://www.youtube.com/watch?v=42c7FAnANdk&feature=related 22 Correlation vs. Causation Example ‘‘The correlation between workers’ education levels and wages is strongly positive” Does this mean education “causes” higher wages? – We don’t know for sure ! Correlation tells us two variables are related BUT does not tell us why http://www.youtube.com/watch?v=UNonyq1yhiE 23 Correlation vs. Causation Possibility 1 – Education improves skills and skilled workers get better paying jobs • Education causes wages to Possibility 2 – Individuals are born with quality A which is relevant for success in education and on the job • Quality (NOT education) causes wages to 24 Ice-cream sales are strongly correlated with death from drowning rates. Therefore, ice-cream causes drowning. • the evidence is the correlation (in yellow): • "Kids of teen moms are twice as likely not to graduate than kids whose moms were over age 22." • And the conclusion is the text in the top-right: • "I'm twice as likely not to graduate high school because you had me as a teen.” • What potential confounding factors is the advertisement failing to consider as alternate causes? • Ice cream sales and the incidents of polio are correlated. Skirt lengths and stock prices are highly correlated (as stock prices go up, skirt lengths get shorter). The number of cavities in elementary school children and vocabulary size are strongly correlated (negatively) Without proper interpretation, causation should not be assumed, or even implied. Z X &Y When can we imply causation? When controlled experiments are performed. Unless data have been gathered by experimental means and confounding variables have been eliminated, correlation never implies causation. Probability When we don’t understand the probability of an event happening, we’re more likely to see it as significant. Just because a specific event was unlikely does not mean that it’s significant or part of a pattern. Unlikely things happen all the time. Humans trying to emulate random sequences will almost never place more than four heads (or tails) in a row. In a true random generation, the probability of at least one string of 5 or more identical outcomes is 0.999 and for a sequence of 6 it is 0.96! Miracles = 1 in a million odds We see & hear things happen about 1/second 30,000 seconds in one 8-hour day 1 million events per month Most are insignificant We should expect about 1 miracle to happen, on average, once a month Confirmation bias: we remember the unusual, forget the usual Death Dreams 5 dreams/day = 1,825 dreams/year 1/10 remembered dreams = 182.5/year 295 million Americans = 53.8 billion remembered dreams/year Each of us knows about 150 people fairly well Network grid of 44.3 billion personal relationships Annual U.S. death rate = .008 = 2.6 million/year Inevitable that some of those 53.8 billion remembered dreams will be about some of these 2.6 million deaths among the 295 million Americans and their 44.3 billion relationships. It would be a miracle, in fact, if some death premonition dreams did not come true Birthdays Two people in your classroom have the same birthday. That seems like an unlikely event. What are the odds, really? The Birthday Probability Game The odds of getting 2 people with the same birthday is better than 50% with only 23 people. FALSE POSITIVES One reason we make mistakes in the first place A Type I error, or a false positive, is believing a pattern is real when it is not (finding a nonexistent pattern). A Type II error, or a false negative, is not believing a pattern is real when it is (not recognizing a real pattern). A Type I error: believe that the rustle in the grass is a dangerous predator when it is just the wind (low cost). A Type II error: believe that the rustle in the grass is just the wind when it is a dangerous predator (high cost). Rustle in the Grass Really There’s no tiger There’s a tiger! I think Help, it’s a tiger!! Run!!! OK, I ran away when I didn’t need to. No big. Correct answer! Yay, I didn’t get eaten! (Type I error) RAWR! Ho, Hum, Just the wind. Don’t panic, there’s no tiger. Correct Answer. Yawn. (Type II error) The Downside of False Positives Suppose that about one in a thousand people has the dreaded lethal disease creeping uvulitis, and doesn’t even know it. Suppose we have a test that is 99% accurate in diagnosing this dread ailment. What happens if we test a whole bunch of people for the disease? Creeping Uvulitis, we test 100,100 people, 100 of them are sick Really All Clear 100,000 people Disease 100 total Disease 1,000 people get the bad news that they’re sick, when they’re not. (Type I error) Correct answer! 99 people are treated and don’t die. All Clear Correct Answer. 99,000 One guy is told he’s people get the good fine. He dies. news that they’re fine. (Type II error) 99% accurate Test shows The results 100,100 people are tested with a 99% accurate test. 1,099 get results that say they are sick. 9% of these people actually are. Understand probabilities before you jump to conclusions.